1. The problem statement, all variables and given/known data I am having trouble setting up the bounds on the following two integrals: (a) The region E bounded by the paraboloid y=x2+z2 and the plane y=4. (b) The region bounded by the cylinder x2+y2=1, z=4, and the paraboloid z=1-x2-y2. 2. Relevant equations 3. The attempt at a solution I thought for (a) to use 4 < y < x2+z2 -sqrt(y-z2) < x < sqrt(y-z2) -sqrt(y-x2) < z < sqrt(y-x2) But these don't seem right. I'm not sure where to begin for (b) except that z may be upper bounded by 4? Thanks in advance.